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Journal Articles IEEE Transactions on Automatic Control Year : 2007

Global Stabilization with Low Computational Cost of the Discrete-Time Chain of Integrators by Means of Bounded Controls

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Abstract

The paper proposes a bounded nonlinear control law composed of saturation functions for the discrete time chain of integrators. A dynamical adaptation rule of the saturation levels involved in the control law is proposed to improve the closed-loop performances. The paper unifies the original work of Yang et al. (1997) with static saturation level and convergence improvements that recently appeared in the continuous time case. The possible ranges for the controller's parameters are extended regards to existing results.
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Dates and versions

lirmm-00152310 , version 1 (06-06-2007)

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Nicolas Marchand, Ahmad Hably, Ahmed Chemori. Global Stabilization with Low Computational Cost of the Discrete-Time Chain of Integrators by Means of Bounded Controls. IEEE Transactions on Automatic Control, 2007, 52 (5), pp.948-952. ⟨10.1109/TAC.2007.895956⟩. ⟨lirmm-00152310⟩
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